What are the numbers divisible by 4195?

4195, 8390, 12585, 16780, 20975, 25170, 29365, 33560, 37755, 41950, 46145, 50340, 54535, 58730, 62925, 67120, 71315, 75510, 79705, 83900, 88095, 92290, 96485

There is a total of 23 numbers (up to 100000) that are divisible by 4195.
The sum of these numbers is 1157820.
The arithmetic mean of these numbers is 50340.

How to find the numbers divisible by 4195?

Finding all the numbers that can be divided by 4195 is essentially the same as searching for the multiples of 4195: if a number N is a multiple of 4195, then 4195 is a divisor of N.

Indeed, if we assume that N is a multiple of 4195, this means there exists an integer k such that:

$k \times 4195 = N$

Conversely, the result of N divided by 4195 is this same integer k (without any remainder):

$k = \frac{N}{4195}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 4195 (we can keep multiplying it by increasingly larger integers, without ever reaching the end).

However, in this instance, we've chosen to set an arbitrary limit (specifically, the multiples of 4195 less than 100000):

1 × 4195 = 4195
2 × 4195 = 8390
3 × 4195 = 12585
...
22 × 4195 = 92290
23 × 4195 = 96485